Metastable Flows in an Extended Burgers Cellular Automaton Traffic Model

M. Fukui, K. Nishinari, D. Takahashi and Y. Ishibashi
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M. Fukui: Nakanihon Automotive College
K. Nishinari: Ryukoku University, Department of Applied Mathematics and Informatics
D. Takahashi: Waseda University, Department of Mathematical Sciences
Y. Ishibashi: Aichi Shukutoku University, School of Communications

A chapter in Traffic and Granular Flow’01, 2003, pp 79-84 from Springer

Abstract: Abstract Traffic flow in the extended Burgers cellular automaton (EBCA1) traffic model is studied. The flow and configuration of vehicles on two lanes in the model are simulated and three kinds of metastable local congested states are found in a two-dimensional region on the density-flow diagram. The first is that cars advance by stop and go-flow on their own lanes without lane-change and values of the flow are stable in time. The second is that cars change the lane periodically with several time-steps. The third is that they advance changing the lane that induces fluctuation of the flow with extremely long period. This fluctuation flow exists in a wide range between car densities 5/12 and 3/4. The metastable flow is discussed in connection with the synchronized states observed in the traffic flow on an expressway.

Keywords: Traffic Flow; Free Flow; Traffic Model; Vehicle Density; Fundamental Diagram (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-662-10583-2_5

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